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LCM of 599, 982, 126, 813, 494

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 599, 982, 126, 813, 494 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 599, 982, 126, 813, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 599,982,126,813,494

Given numbers are 599,982,126,813,494

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 599,982,126,813,494 is 2480533540758.

Find LCM of 599,982,126,813,494 with Prime Factorization


2 599, 982, 126, 813, 494
3 599, 491, 63, 813, 247
599, 491, 21, 271, 247

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 599 x 491 x 21 x 271 x 247 = 2480533540758

Therefore, the lowest common multiple of 599,982,126,813,494 is 2480533540758.

LCM Formula to Find Lowest Common Multiple of 599,982,126,813,494

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

599 x 982 x 126 x 813 x 494 = 29766402489096

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

599 : 1, 599

982 : 1, 2, 491, 982

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

813 : 1, 3, 271, 813

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,982,126,813,494, is 1.

Now, the common factors can be found like this.

599:599

982:2x 491

126:2x 3x 3x 7

813:3x 271

494:2x 13x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3 = 12

Therefore, the value for common factors is 12.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 29766402489096/(1x12)

LCM = 29766402489096/12

LCM = 2480533540758

Thus, we can understand that the LCM of 599,982,126,813,494 is 2480533540758.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 599, 982, 126, 813, 494

1. What is the LCM of 599, 982, 126, 813, 494?

Answer: LCM of 599, 982, 126, 813, 494 is 2480533540758.

2. How to calculate the LCM of 599, 982, 126, 813, 494?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 599, 982, 126, 813, 494.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.